1045923840 has 480 divisors, whose sum is σ = 4078914840. Its totient is φ = 254803968.

The previous prime is 1045923833. The next prime is 1045923859. The reversal of 1045923840 is 483295401.

It can be written as a sum of positive squares in 4 ways, for example, as 627803136 + 418120704 = 25056^2 + 20448^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1045923795 and 1045923804.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10782672 + ... + 10782768.

Almost surely, 2^1045923840 is an apocalyptic number.

1045923840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039457420).

1045923840 is an abundant number, since it is smaller than the sum of its proper divisors (3032991000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1045923840 is an equidigital number, since it uses as much as digits as its factorization.

1045923840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1045923840 is about 32340.7458170030. The cubic root of 1045923840 is about 1015.0794149484.

The spelling of 1045923840 in words is "one billion, forty-five million, nine hundred twenty-three thousand, eight hundred forty".